展开 (1+ln(x))(-e+2x-xln(x))

解答

展开

(1 + ln (x)) (- e + 2 x - x ln (x))

2 x + x ln (x) - x ln^{2} (x) - e ln (x) - e

求解步骤

(1 + ln (x)) (- e + 2 x - x ln (x))

打开括号

= 1 \cdot (- e) + 1 \cdot 2 x + 1 \cdot (- x ln (x)) + ln (x) (- e) + ln (x) \cdot 2 x + ln (x) (- x ln (x))

使用加减运算法则

+ (- a) = - a

= - 1 e + 1 \cdot 2 x - 1 \cdot x ln (x) - e ln (x) + 2 x ln (x) - x ln (x) ln (x)

化简

- 1 e + 1 \cdot 2 x - 1 \cdot x ln (x) - e ln (x) + 2 x ln (x) - x ln (x) ln (x) : 2 x + x ln (x) - x ln^{2} (x) - e ln (x) - e

= 2 x + x ln (x) - x ln^{2} (x) - e ln (x) - e

e x p an d (2 + 5) (2 + 5)

e x p an d 1 + x + y (- 1 - y^{'} (x))

e x p an d (cos^{2} (v) + u (sin^{2} (v)))^{2}

e x p an d \frac{( n + 2 )}{n ( n + 1 ) 2 ^{n + 1}}

s im pl i f y (- 67 y + 97)^{2}